Factor 12a^2+3a-8a-2

$12 a^{2} + 3 a - 8 a - 2$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(12 a^{2} + 3 a) - 8 a - 2$

Factor out the greatest common factor (GCF) from each group.

$3 a (4 a + 1) - 2 (4 a + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 a + 1$ .

$(4 a + 1) (3 a - 2)$